Jubilismic family: Difference between revisions

No edit summary
Xenllium (talk | contribs)
Added 17-limit subgroup temperaments
Tags: Mobile edit Mobile web edit
Line 27: Line 27:


Scales: [[jubilismic10]], [[jubilismic12]]
Scales: [[jubilismic10]], [[jubilismic12]]
=== Jubilife ===
There is a natural extension of jubilismic to the 2.3.5.7.17 subgroup, which tempers out [[85/84]] and [[120/119]], and identifies 7/5 with 10/7, 17/12 and 24/17 as the semioctave.
Subgroup: 2.3.5.7.17
Comma list: 50/49, 85/84
Mapping: {{Mapping| 2 0 0 1 5 | 0 1 0 0 1 | 0 0 1 1 0 }}
Optimal tunings:
* WE: ~7/5 = 599.8903{{c}}, ~3/2 = 702.6008{{c}}, ~5/4 = 379.6441{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 702.5503{{c}}, ~5/4 = 379.4777{{c}}
{{Optimal ET sequence|legend=0| 4, 8d, 10, 12, 22, 34d, 48 }}
Badness (Sintel): 0.357


== Undecimal jubilismic ==
== Undecimal jubilismic ==
Line 46: Line 63:


[[Badness]] (Sintel): 0.673
[[Badness]] (Sintel): 0.673
=== Jubilee ===
Jubilismic temperament works on the [[No-thirteens subgroup temperaments|no-13s]] 17-limit subgroup very well, where the semioctave stands in for ~7/5, ~17/12, ~99/70 and their [[octave complement]]s.
Subgroup: 2.3.5.7.11.17
Comma list: 50/49, 85/84, 99/98
Mapping: {{Mapping| 2 0 0 1 4 5 | 0 1 0 0 -2 1 | 0 0 1 1 2 0 }}
Optimal tunings:
* WE: ~7/5 = 599.8463{{c}}, ~3/2 = 702.9469{{c}}, ~5/4 = 379.5011{{c}}
* CWE: ~7/5 = 600.0000{{c}}, ~3/2 = 702.9274{{c}}, ~5/4 = 379.2350{{c}}
{{Optimal ET sequence|legend=0| 4, 8d, 10e, 12, 22, 34d, 48 }}
Badness (Sintel): 0.578


== Festival ==
== Festival ==